Probability

game

Game of Pig - Sixes

Age

7 to 18

Challenge level

1 out of 3

Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
problem

A Brief History of Probability

Age

11 to 14

Challenge level

1 out of 3

Can you help d'Alembert discover the probabilty of at least one head in two coin flips?
game

Snail Trails

Age

11 to 14

Challenge level

1 out of 3

This is a game for two players. Does it matter where the target is put? Is there a good strategy for winning?
problem

Racing Odds

Age

11 to 14

Challenge level

1 out of 3

In a race the odds are: 2 to 1 against the rhinoceros winning and 3 to 2 against the hippopotamus winning. What are the odds against the elephant winning if the race is fair?
problem

Strange Dice

Age

11 to 14

Challenge level

1 out of 3

If two of these unusually numbered dice are thrown, how many different sums are possible?
problem

Master Minding

Age

11 to 14

Challenge level

2 out of 3

Your partner chooses two beads and places them side by side behind a screen. What is the minimum number of guesses you would need to be sure of guessing the two beads and their positions?
problem

Misunderstanding Randomness

Age

11 to 14

Challenge level

2 out of 3

Which of these ideas about randomness are actually correct?
problem

Nine or Ten?

Age

11 to 14

Challenge level

3 out of 3

Is a score of 9 more likely than a score of 10 when you roll three dice?
$How Risky \is my diet?$

problem

How Risky Is My Diet?

Age

11 to 16

Challenge level

2 out of 3

Newspapers said that eating a bacon sandwich every day raises the risk of bowel cancer by 20%. Should you be concerned?
problem

Penta Colour

Age

14 to 16

Challenge level

1 out of 3

In how many different ways can I colour the five edges of a pentagon so that no two adjacent edges are the same colour?